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ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr

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Page 1: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 2: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 3: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 4: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 5: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 6: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 7: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 8: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 9: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 10: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 11: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 12: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 13: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 14: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 15: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 16: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 17: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 18: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 19: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 20: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 21: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 22: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 23: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 24: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 25: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 26: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 27: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 28: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 29: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 30: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 31: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 32: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 33: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 34: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 35: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 36: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 37: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 38: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 39: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 40: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 41: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 42: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr
Page 43: ian/Teaching/Vectors/slides3.pdf · Using Pythagoras' theorem on a short piece of curve. In the limit as ds tends to zero ds2 — So if a curve is parameterized in terms of p PI dr

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